MOSCOW — A fire ripped through a new Moscow building’s underground parking lot on Saturday, killing 10 migrant workers and injuring 13 others who had been working and living there, city police said. All those who died were citizens of Tajikistan, Moscow police said. They were killed after a garbage heap on the floor they were working on caught fire, but the cause of the blaze itself was under investigation. Several million migrants from Tajikistan, Uzbekistan and Kyrgyzstan — former Soviet republics that are now Central Asian nations — have come to Moscow in search of work. While many are employed in the city’s burgeoning construction industry, many work and even live on sites with nonexistent safety standards. The fire took nearly two hours to extinguish. Russia has a poor fire safety record. The government’s Emergency Services department says nearly 14,000 people died from fires in 2009, the latest year with complete records.